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arxiv: 1806.08367 · v1 · pith:B2N33KG5new · submitted 2018-06-21 · ✦ hep-th · math-ph· math.DG· math.MP

Finite deformations from a heterotic superpotential: holomorphic Chern--Simons and an L_infty algebra

Anthony Ashmore , Xenia de la Ossa , Ruben Minasian , Charles Strickland-Constable , Eirik Eik Svanes This is my paper
classification ✦ hep-th math-phmath.DGmath.MP
keywords superpotentialactionalgebrachern--simonscomplexdeformationsfiniteheterotic
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We consider finite deformations of the Hull--Strominger system. Starting from the heterotic superpotential, we identify complex coordinates on the off-shell parameter space. Expanding the superpotential around a supersymmetric vacuum leads to a third-order Maurer--Cartan equation that controls the moduli. The resulting complex effective action generalises that of both Kodaira--Spencer and holomorphic Chern--Simons theory. The supersymmetric locus of this action is described by an $L_3$ algebra.

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Cited by 2 Pith papers

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